Optimal decay rates for semi-linear non-autonomous evolution equations with vanishing damping

Luo, JR; Xiao, TJ

Xiao, TJ (通讯作者)，Fudan Univ, Sch Math Sci, Shanghai Key Lab Contemporary Appl Math, Shanghai 200433, Peoples R China.

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2023; 230 ():

Abstract

We consider a second order non-autonomous evolution equation in a Hilbert space 7-t u ''(t) + Au(t) + gamma(t)u '(t) + VF (u(t)) = 0, where A is a sel......

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